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Finding the Fourth Proportional to 259,066.20, 387,943.20 and 206,578.20

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Solution

The fourth proportional to 259,066.20, 387,943.20 and 206,578.20 is: 309,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,066.20 : 387,943.20 = 206,578.20 : x
  2. Step 2: Convert to fraction form
    259,066.20/387,943.20 = 206,578.20/x
  3. Step 3: Cross multiply
    259,066.20x = 387,943.20 × 206,578.20
  4. Step 4: Simplify right side
    259,066.20x = 80,140,607,958.24
  5. Step 5: Solve for x
    x = 80,140,607,958.24/259,066.20
  6. Step 6: Final answer
    x = 309,344.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.